450472361040 has 640 divisors, whose sum is σ = 1717270087680. Its totient is φ = 107844231168.

The previous prime is 450472360997. The next prime is 450472361041. The reversal of 450472361040 is 40163274054.

450472361040 is a `hidden beast` number, since 4 + 50 + 472 + 36 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450472360986 and 450472361004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450472361041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228317494 + ... + 228319466.

It is an arithmetic number, because the mean of its divisors is an integer number (2683234512).

Almost surely, 2^450472361040 is an apocalyptic number.

450472361040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450472361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858635043840).

450472361040 is an abundant number, since it is smaller than the sum of its proper divisors (1266797726640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450472361040 is a wasteful number, since it uses less digits than its factorization.

450472361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 450472361040 in words is "four hundred fifty billion, four hundred seventy-two million, three hundred sixty-one thousand, forty".